Question

1. a bus traveled a distance of 46 miles in 138 minutes. which graph has a slope that best represents this rate?

Explanation:

Step1: Calculate the slope

The slope formula is \(m=\frac{\text{distance}}{\text{time}}\). Given distance \(d = 46\) miles and time \(t=138\) minutes. So, \(m=\frac{46}{138}=\frac{1}{3}\).

Step2: Analyze each graph

• Graph A: Let's assume two points \((0,0)\) and \((12,4)\). Slope \(m=\frac{4 - 0}{12-0}=\frac{1}{3}\).
• Graph B: Assume two points \((0,0)\) and \((6,10)\). Slope \(m=\frac{10 - 0}{6-0}=\frac{5}{3}\).
• Graph C: Assume two points \((0,0)\) and \((5,30)\). Slope \(m=\frac{30 - 0}{5-0}=6\).
• Graph D: Assume two points \((0,0)\) and \((3,30)\). Slope \(m=\frac{30 - 0}{3-0}=10\).

Answer:

A.